Finding the Fourth Proportional to 229,277,277,693.12, 316,403,602,230.37 and 126,392,139,026.84
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Solution
The fourth proportional to 229,277,277,693.12, 316,403,602,230.37 and 126,392,139,026.84 is: 174,421,680,526.15
Step by Step Solution
- Step 1: Write the proportion equation
229,277,277,693.12 : 316,403,602,230.37 = 126,392,139,026.84 : x - Step 2: Convert to fraction form
229,277,277,693.12/316,403,602,230.37 = 126,392,139,026.84/x - Step 3: Cross multiply
229,277,277,693.12x = 316,403,602,230.37 × 126,392,139,026.84 - Step 4: Simplify right side
229,277,277,693.12x = 39,990,928,081,693,907,615,744 - Step 5: Solve for x
x = 39,990,928,081,693,907,615,744/229,277,277,693.12 - Step 6: Final answer
x = 174,421,680,526.15
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.